102705716172 has 48 divisors (see below), whose sum is σ = 253776620160. Its totient is φ = 32217199872.

The previous prime is 102705716149. The next prime is 102705716173. The reversal of 102705716172 is 271617507201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102705716172.

It is not an unprimeable number, because it can be changed into a prime (102705716173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780479 + ... + 1837257.

It is an arithmetic number, because the mean of its divisors is an integer number (5287012920).

Almost surely, 2^102705716172 is an apocalyptic number.

102705716172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102705716172 is an abundant number, since it is smaller than the sum of its proper divisors (151070903988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102705716172 is a wasteful number, since it uses less digits than its factorization.

102705716172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65670 (or 65668 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 39.

The spelling of 102705716172 in words is "one hundred two billion, seven hundred five million, seven hundred sixteen thousand, one hundred seventy-two".